8 citations · 8 across the 6 of their papers we have counts for
6 papers
A-compact holomorphic Lipschitz mappings on the unit ball of a Banach space
A. Jiménez-Vargas, D. Ruiz-Casternado
Let X and Y be complex Banach spaces, B_X be the open unit ball of X and HL(B_X,Y) be the Banach space of all holomorphic Lipschitz maps f:B_X->Y such that f(0)=0, endowed with the…
Weighted holomorphic mappings associated with p-compact type sets
M. G. Cabrera-Padilla, A. Jiménez-Vargas, A. Keten Çopur
Given an open subset of a complex Banach space , a weight on , and a complex Banach space , let denote the Banach space of all weighted…
Cohen strongly p-summing holomorphic mappings on Banach spaces
A. Jiménez-Vargas, K. Saadi, J. M. Sepulcre
Let and be complex Banach spaces, be an open subset of and . We introduce and study the notion of a Cohen strongly -summing holomorphic mappin…
On composition ideals and dual ideals of bounded holomorphic mappings
M. G. Cabrera-Padilla, A. Jiménez-Vargas, D. Ruiz-Casternado
Applying a linearization theorem due to J. Mujica, we study the ideals of bounded holomorphic mappings generated by composition with an operato…
On holomorphic mappings with compact type range
A. Jiménez-Vargas, D. Ruiz-Casternado, J. M. Sepulcre
Using Mujica's linearization theorem, we extend to the holomorphic setting some classical characterizations of compact (weakly compact, Rosenthal, Asplund) linear operators between…
On 2-local diameter-preserving maps between C(X)-spaces
A. Jiménez-Vargas, Fereshteh Sady
The 2-locality problem of diameter-preserving maps between C(X)-spaces is addressed in this paper. For any compact Hausdorff space X with at least three points, we give an example…